A device (D) is dedicated to multimedia stream connection management (D) in an equipment (SS) of a communication network (R) involved in setting up communication sessions between communication terminals (T1-T4) connected to the network (R). This device (D) comprises management means (MG) adapted, when a main communication session is being set up that involves the equipment (SS) and is dedicated to a multimedia conference call between two or more internal communication terminals (T1-T3), on the one hand, to effect multimedia stream connections between the internal terminals (T1-T3) and, on the other hand, in the event of an attempt to set up a parallel call between a communication terminal (T4) external to the main session and one or more of the terminals (T1-T3) internal to the main session, to set up each parallel call between the external terminal (T4) and each of the requested internal terminals (T1-T3) so that the external terminal (T4) is able to exchange multimedia streams with one or more of the terminals (T1-T3) internal to the main session in the context of a parallel session.
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